Kinetics of 2D electrons in a magnetic field in the presence of microwave radiation: Response of a nonequilibrium system to a weak measuring field

Lyapilin, I. I.; Patrakov, A. E.

doi:10.1134/s0031918x06120027

Cited by 3 publications

(4 citation statements)

References 11 publications

(7 reference statements)

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“…Generally, the structure of Eq. ( 7) is similar to that found for other scattering mechanisms important for semiconductor electrons 16,17,21 . The main advantage of the form of Eq.…”

supporting

confidence: 86%

“…The ac electric field is taken into account in an exact way similarly to Refs. [16,17]. Scattering with ripplons is described using a perturbation theory.…”

mentioning

confidence: 99%

“…In this model, an electron scattering by an impurity potential accompanying by absorption of a photon is the origin of the negative linear response conductivity. In recent developments of the model 16,17 , the contribution from radiation is taken into account exactly which is important for high MW powers. Even though, in semiconductor systems, other mechanisms reportedly 18,19 could give a stronger effect, it is very attractive to study the displacement model for the 2D electron system on liquid helium.…”

mentioning

confidence: 99%

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Cyclotron-resonance-induced negative dc conductivity in a two-dimensional electron system on liquid helium

Monarkha

2015

Phys. Rev. B

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We theoretically predict instability of a zero-dc-current state of the two-dimensional electron system formed on the surface of liquid helium induced by the cyclotron resonance (CR). This conclusion follows from the theoretical analysis of the dc magnetoconductivity which takes into account the contribution from radiation in an exact way. A many-electron model of the dynamic structure factor of the 2D Coulomb liquid is used to describe the influence of strong internal forces acting between electrons. For low electron densities and high amplitudes of the microwave field, the dc magnetoconductivity is shown to become negative in the vicinity of the CR which causes the instability. This effect is strongly suppressed by Coulomb forces in the region of high densities.Microwave-induced resistance oscillations and zeroresistance states (ZRS) observed in a two-dimensional (2D) electron gas subjected to a transverse magnetic field [1-3] represent a surprising discovery in condensed matter physics. A number of theoretical mechanisms have been proposed to explain these oscillations and ZRS [4][5][6][7][8]. Still, by now the origin of the phenomenon is controversial. A crucial result [9], independent of the details of the microscopic mechanism, is that the ZRS can be explained by an assumption that the longitudinal linear response conductivity σ xx is negative in appropriate ranges of the magnetic field B. In this case, a zero-current state is unstable and the system spontaneously develops a nonvanishing local current density.The above noted phenomena were observed in high-quality GaAs/AlGaAs heterostructures. There is another extremely clean 2D electron system formed on the surface of liquid helium which exhibits remarkable quantum magnetotransport phenomena [10] although it is a nondegenerate system of strongly interacting electrons. Since electron gas degeneracy is not a crucial point for some of the theoretical mechanisms explaining ZRS in semiconductor systems, these mechanisms potentially can be applied to surface electrons (SEs) on liquid helium as well. Complementary studies of these phenomena in the system of SEs on liquid helium could help with identification of the origin of ZRS observed in GaAs/AlGaAs heterostructures.It should be noted that another kind of magnetoconductivity oscillations and ZRS (zero-σ xx states to be exact) was already observed in the system of SEs on liquid helium [11,12] when the energy of excitation of the second surface subband ( 2 − 1 ) was tuned to the resonance with the microwave (MW) frequency. These phenomena were explained [13] by nonequilibrium population of the second surface subband which triggers quasielastic intersubband decay processes accompanied by electron scattering against or along the driving force, depending on the ratio ( 2 − 1 ) / ω c (here ω c is the cyclotron frequency). An important evidence for identification of the mechanism of oscillations and ZRS observed for SEs on liquid helium was recently found in studies of the Coulombic effect on positions of conductivity...

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“…Generally, the structure of Eq. ( 7) is similar to that found for other scattering mechanisms important for semiconductor electrons 16,17,21 . The main advantage of the form of Eq.…”

supporting

confidence: 86%

“…The ac electric field is taken into account in an exact way similarly to Refs. [16,17]. Scattering with ripplons is described using a perturbation theory.…”

mentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Cyclotron-resonance-induced negative dc conductivity in a two-dimensional electron system on liquid helium

Monarkha

2015

Phys. Rev. B

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“…with εxy = −ε yx = 1, is similar to the transformation to Floquet states, used in a number of works (Auerbach and Pai, 2007;Kashuba, 2006b;Lee and Leinaas, 2004;Lyapilin and Patrakov, 2006;Park, 2004;Torres and Kunold, 2005;Volkov and Takhtamirov, 2007) on the displacement mechanism of MIRO. This transformation (unambiguously defined for ω = ω c ) eliminates homogeneous electric fields in the Hamiltonian of a clean electron system at the expense that the impurity potential, "dressed by the electric fields," becomes time-dependent.…”

Section: General Approach: Quantum Kinetic Equationmentioning

confidence: 99%

Nonequilibrium phenomena in high Landau levels

et al. 2012

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Developments in the physics of 2D electron systems during the last decade revealed a new class of nonequilibrium phenomena in the presence of a moderately strong magnetic field. The hallmark of these phenomena is magnetoresistance oscillations generated by the external forces that drive the electron system out of equilibrium. The rich set of dramatic phenomena of this kind, discovered in high mobility semiconductor nanostructures, includes, in particular, microwave radiation-induced resistance oscillations and zero-resistance states, as well as Hall field-induced resistance oscillations and associated zero-differential resistance states. The experimental manifestations of these phenomena and the unified theoretical framework for describing them in terms of a quantum kinetic equation are reviewed. This survey also contains a thorough discussion of the magnetotransport properties of 2D electrons in the linear-response regime, as well as an outlook on future directions, including related nonequilibrium phenomena in other 2D electron systems.

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Polarization dependence of microwave-induced magnetoconductivity oscillations in a two-dimensional electron gas on liquid helium

Monarkha

2017

Low Temperature Physics

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The dependence of radiation-induced dc magnetoconductivity oscillations on the microwave polarization is theoretically studied for a two-dimensional system of strongly interacting electrons formed on the surface of liquid helium. Two different theoretical mechanisms of magnetooscillations (the displacement and inelastic models) are investigated. We found that both models are similarly sensitive to a change of circular polarization, but they respond differently to a change of linear polarization. Theoretical results are compared with the recent observation of a photoconductivity response at cyclotron-resonance harmonics.

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Kinetics of 2D electrons in a magnetic field in the presence of microwave radiation: Response of a nonequilibrium system to a weak measuring field

Cited by 3 publications

References 11 publications

Cyclotron-resonance-induced negative dc conductivity in a two-dimensional electron system on liquid helium

Cyclotron-resonance-induced negative dc conductivity in a two-dimensional electron system on liquid helium

Nonequilibrium phenomena in high Landau levels

Polarization dependence of microwave-induced magnetoconductivity oscillations in a two-dimensional electron gas on liquid helium

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